Search a number
-
+
11334372 = 2237592287
BaseRepresentation
bin101011001111…
…001011100100
3210022211211120
4223033023210
510400144442
61042533540
7165224550
oct53171344
923284746
1011334372
116441755
1239672b0
13246b03a
141710860
15edd4ec
hexacf2e4

11334372 has 48 divisors (see below), whose sum is σ = 30750720. Its totient is φ = 3182112.

The previous prime is 11334371. The next prime is 11334373. The reversal of 11334372 is 27343311.

It is an interprime number because it is at equal distance from previous prime (11334371) and next prime (11334373).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11334371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3813 + ... + 6099.

It is an arithmetic number, because the mean of its divisors is an integer number (640640).

Almost surely, 211334372 is an apocalyptic number.

11334372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11334372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15375360).

11334372 is an abundant number, since it is smaller than the sum of its proper divisors (19416348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11334372 is a wasteful number, since it uses less digits than its factorization.

11334372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2360 (or 2358 counting only the distinct ones).

The product of its digits is 1512, while the sum is 24.

The square root of 11334372 is about 3366.6559075736. The cubic root of 11334372 is about 224.6289984700.

Adding to 11334372 its reverse (27343311), we get a palindrome (38677683).

The spelling of 11334372 in words is "eleven million, three hundred thirty-four thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 59 84 118 177 236 354 413 708 826 1239 1652 2287 2478 4574 4956 6861 9148 13722 16009 27444 32018 48027 64036 96054 134933 192108 269866 404799 539732 809598 944531 1619196 1889062 2833593 3778124 5667186 11334372